Answer:
$87,461
Step-by-step explanation:
Given that the dimensions or sides of lengths of the triangle are 119, 147, and 190 ft
where S is the semi perimeter of the triangle, that is, s = (a + b + c)/2.
S = (119 + 147 + 190) / 2 = 456/ 2 = 228
Using Heron's formula which gives the area in terms of the three sides of the triangle
= √s(s – a)(s – b)(s – c)
Therefore we have = √228 (228 - 119)(228 - 147)(228 - 190)
=> √228 (109)(81)(38)
= √228(335502)
=√76494456
= 8746.1109071 * $10
= 87461.109071
≈$87,461
Hence, the value of a triangular lot with sides of lengths 119, 147, and 190 ft is $87,461.
Answer:
Dan drank 1 3/8 ths of the bottle of water
Step-by-step explanation:
since the question is asking how much water he drank altogether, it wants you to add
so
7/8+4/8=11/8
Dan drank 11/8 ths of the bottle of water (1 3/8)
Two lines that intersect at 90 degrees are considered perpendicular to each other.
Answer:
m < 1 = 18°
Step-by-step explanation:
If <ABD = 72°, and m < 2 is three times the measure of m < 1, then:
Let < ABC = m < 1 = x
< CBD = m < 2 = 3x
We can set up the following formula, since the sum of the measures of angles < 1 and < 2 is equal to <ABD (72°):
m < 1 + m < 2 = < ABD
x + 3x = 72°
Add like terms:
4x = 72°
Divide both sides by 4 to solve for x:

x = 18
Since x = 18, and m < 1 = x , then m < 1 = 18°.
And since m < 2 = 3x, then m < 2 = 3(18°) = 54°.
Let's check to see whether we derived the correct answers by plugging in the values of m < 1 and m < 2 into the established formula:
m < 1 + m < 2 = < ABD
18° + 54° = 72°
72° = 72° (True statement).
Please mark my answers as the Brainliest if my explanations were helpful :)
SA= 2LW + 2LH + 2WH
Substituting for the values, SA = 900 cm^2